Some Characterizations of Integral Operators Associated with Certain Classes of p-Valent Functions Defined by the Srivastava–Saigo–Owa Fractional Differintegral Operator

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作者
M. K. Aouf
A. O. Mostafa
H. M. Zayed
机构
[1] Mansoura University,Department of Mathematics, Faculty of Science
[2] Menofia University,Department of Mathematics, Faculty of Science
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-Valent functions; Hadamard product or convolution; Srivastava–Saigo–Owa fractional differintegral operator; 30C45; 30C50;
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摘要
The purpose of this paper is to introduce new integral operators associated with Srivastava–Saigo–Owa fractional differintegral operator. We investigate some properties for the integral operators Fp,η,μλ,δ(z)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathcal {F}}_{p,\eta ,\mu }^{\lambda ,\delta }(z)$$\end{document} and Gp,η,μλ,δ(z)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathcal {G}}_{p,\eta ,\mu }^{\lambda ,\delta }(z)$$\end{document} to be in the classes Rkζp,ρ\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathcal {R}}_{k}^{\zeta }\left( p,\rho \right) $$\end{document} and Vkζp,ρ\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathcal {V}}_{k}^{\zeta }\left( p,\rho \right) $$\end{document}.
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页码:1267 / 1275
页数:8
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